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Estimates at infinity for positive solutions to a class of p-Laplacian problems in RN
Authors:David G Costa  Hossein Tehrani  Ralph Thomas
Institution:1. Department of Mathematical Sciences, University of Nevada Las Vegas, Box 454020, Las Vegas, NV 89154-4020, United States;2. Database Marketing, Seminole Hard Rock Gaming, 5223 Orient Rd, Tampa, FL 33610, United States
Abstract:In this paper we consider a class of logistic-type problems for the p-Laplacian in the whole space. Using minimization we prove existence of a positive solution and its behavior at infinity. We also consider questions of uniqueness and sharp estimates at infinity.
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